Search a number
-
+
40786344368704 = 26111911326984233
BaseRepresentation
bin10010100011000010011111…
…00100010101101001000000
312100102010200110120210210001
421101201033210111221000
520321220413124244304
6222424553221045344
711406500430641434
oct1121411744255100
9170363613523701
1040786344368704
1111aa5434109970
1246a8800256854
13199b19c39921c
14a100d8daa9c4
154aae2e250da4
hex25184f915a40

40786344368704 has 112 divisors (see below), whose sum is σ = 93762657564480. Its totient is φ = 17408067747840.

The previous prime is 40786344368687. The next prime is 40786344368711.

40786344368704 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11980629 + ... + 15003604.

Almost surely, 240786344368704 is an apocalyptic number.

40786344368704 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40786344368704 is an abundant number, since it is smaller than the sum of its proper divisors (52976313195776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40786344368704 is a wasteful number, since it uses less digits than its factorization.

40786344368704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26984388 (or 26984378 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 64.

The spelling of 40786344368704 in words is "forty trillion, seven hundred eighty-six billion, three hundred forty-four million, three hundred sixty-eight thousand, seven hundred four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 113 152 176 209 226 304 352 418 452 608 704 836 904 1216 1243 1672 1808 2147 2486 3344 3616 4294 4972 6688 7232 8588 9944 13376 17176 19888 23617 34352 39776 47234 68704 79552 94468 137408 188936 377872 755744 1511488 26984233 53968466 107936932 215873864 296826563 431747728 512700427 593653126 863495456 1025400854 1187306252 1726990912 2050801708 2374612504 3049218329 4101603416 4749225008 5639704697 6098436658 8203206832 9498450016 11279409394 12196873316 16406413664 18996900032 22558818788 24393746632 32812827328 33541401619 45117637576 48787493264 57935148251 67082803238 90235275152 97574986528 115870296502 134165606476 180470550304 195149973056 231740593004 268331212952 360941100608 463481186008 536662425904 637286630761 926962372016 1073324851808 1274573261522 1853924744032 2146649703616 2549146523044 3707849488064 5098293046088 10196586092176 20393172184352 40786344368704